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= (5^6+5^3)+(5^5+5^2)+(5^4+5)+(5^3+1)
= (5^3+1).(5^3+5^2+5+1)
= 126.(5^3+5^2+5+1) chia hết cho 126
k mk nha
\(5^6+5^5+5^4+2.5^3+5^2+5+1\)
\(=\left(5^6+5^3\right)+\left(5^5+5^2\right)+\left(5^4+5\right)+\left(5^3+1\right)\)
\(=\left(5^3+1\right)\left(5^3+5^2+5+1\right)\)
\(=126\left(5^3+5^2+5+1\right)⋮126\)
\(\Rightarrow5^6+5^5+5^4+2.5^3+5^2+5+1⋮126\)
a) \(\left(5x-2\right)\left(5x+2\right)-\left(5x+3\right)\left(5x-4\right)=0\)
\(\Leftrightarrow5x+8=8\)
\(\Leftrightarrow5x=8-8\)
\(\Leftrightarrow x=5.0\)
\(\Leftrightarrow x=0\)
b)
TÌM X biết:
a. (5x - 2)(5x + 2) - (5x + 3)(5x - 4) = 8
b. (4x - 3)( 4x + 2) + (4x + 5)(1 - 4x) =2.52
a ) \(\left(5x-2\right)\left(5x+2\right)-\left(5x+3\right)\left(5x-4\right)=8\)
\(\Leftrightarrow\left(5x\right)^2-4-\left(25x^2+15x-20x-12\right)=8\)
\(\Leftrightarrow25x^2-4-25x^2-15x+20x+12=8\)
\(\Leftrightarrow5x+8=8\)
\(\Leftrightarrow5x=0\)
\(\Leftrightarrow x=0\)
Vậy \(x=0\)
b ) \(\left(4x-3\right)\left(4x+2\right)+\left(4x+5\right)\left(1-4x\right)=2.5^2\)
\(\Leftrightarrow16x^2-12x+8x-6+4x+5-16x^2-20x=50\)
\(\Leftrightarrow-20x-1=50\)
\(\Leftrightarrow-20x=51\)
\(\Leftrightarrow x=-\dfrac{51}{20}\)
Vậy \(x=-\dfrac{51}{20}\)
(24x2y3z2-12x3y2z3+36x2y2z2):(-6x2y2z2)
Vs x=-25: y=-2.5: x=4
Lời giải:
$4500=2^2.3^2.5^3$
$x< y< z$ nên $x=3$.
Khi đó: $5^3+2.5^y+5^z=4500$
$\Rightarrow 2.5^y+5^z=4375$
$5^y(2+5^{z-y})=4375=5^4.7$
Vì $2+5^{z-y}\not\vdots 5$ với mọi $y< z$ nên $5^y=5^4\Rightarrow y=4$
$\Rightarrow 2+5^{z-y}=7$
$5^{z-4}=5\Rightarrow z-4=1\Rightarrow z=5$
4^2.5=4^10
=1048576